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Potra, Florian-Alexandru

Author ID: potra.florian-alexandru Recent zbMATH articles by "Potra, Florian-Alexandru"
Published as: Potra, Florian A.; Potra, F. A.; Potra, Florian; Potra, F.-A.; Potra, Florian-Alexandru; Potra, F.; Potra, Florian Alexandru
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Serials

15 SIAM Journal on Optimization
12 Journal of Optimization Theory and Applications
9 Optimization Methods & Software
6 Numerische Mathematik
6 SIAM Journal on Numerical Analysis
6 Mathematical Programming. Series A. Series B
5 Numerical Functional Analysis and Optimization
4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
4 Computational Optimization and Applications
3 Computing
3 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. L’Analyse Numérique et la Théorie de l’Approximation
3 Linear Algebra and its Applications
2 IMA Journal of Numerical Analysis
2 ACM Transactions on Mathematical Software
2 Aplikace Matematiky
2 BIT
2 International Journal for Numerical Methods in Engineering
2 Mathematics of Operations Research
2 Libertas Mathematica
2 Journal of Complexity
2 Journal of Integral Equations and Applications
2 Annals of Operations Research
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Computational Physics
1 Mathematics of Computation
1 Applied Mathematics and Optimization
1 Časopis Pro Pěstování Matematiky
1 Journal of Computational and Applied Mathematics
1 Mathematica Scandinavica
1 Applied Numerical Mathematics
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Computers & Operations Research
1 European Journal of Operational Research
1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică
1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série
1 Revue d’Analyse Numérique et de Théorie de l’Approximation
1 SIAM Journal on Scientific Computing
1 Methods and Applications of Analysis
1 Nonlinear Dynamics
1 RIMS Kokyuroku
1 Computational Management Science
1 Preprint. “Babeș-Bolyai” University. Faculty of Mathematics. Research Seminars
1 Beiträge zur Numerischen Mathematik
1 Nonlinear Analysis. Theory, Methods & Applications
1 Research Notes in Mathematics (San Francisco)

Publications by Year

Citations contained in zbMATH Open

121 Publications have been cited 2,060 times in 1,381 Documents Cited by Year
Nondiscrete induction and iterative processes. Zbl 0549.41001
Potra, F.-A.; Pták, V.
312
1984
Projection and iterated projection methods for nonlinear integral equations. Zbl 0655.65146
Atkinson, Kendall E.; Potra, Florian A.
83
1987
Sharp error bounds for Newton’s process. Zbl 0434.65034
Potra, Florian A.; Pták, Vlastimil
61
1980
On the monotone convergence of Newton’s method. Zbl 0572.65034
Potra, F. A.; Rheinboldt, W. C.
59
1986
Interior-point methods. Zbl 0967.65078
Potra, Florian A.; Wright, Stephen J.
57
2000
Sharp error bounds for a class of Newton-like methods. Zbl 0581.47050
Potra, Florian-Alexandru
56
1985
Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems. Zbl 0899.70005
Anitescu, M.; Potra, F. A.
55
1997
A mesh-independence principle for operator equations and their discretizations. Zbl 0591.65043
Allgower, E. L.; Böhmer, K.; Potra, F. A.; Rheinboldt, W. C.
54
1986
On Q-order and R-order of convergence. Zbl 0663.65049
Potra, F. A.
50
1989
A superlinearly convergent primal-dual infeasible-interior-point algorithm for semidefinite programming. Zbl 0917.65058
Potra, Florian A.; Sheng, Rongqin
42
1998
On an iterative algorithm of order 1.839…for solving nonlinear operator equations. Zbl 0556.65049
Potra, F.-A.
37
1984
An infeasible-interior-point predictor-corrector algorithm for linear programming. Zbl 0846.90071
Potra, Florian A.
36
1996
Secant methods for semismooth equations. Zbl 0914.65051
Potra, Florian A.; Qi, Liqun; Sun, Defeng
34
1998
On some efficient interior point methods for nonlinear convex programming. Zbl 0741.65052
Kortanek, K. O.; Potra, Florian; Ye, Yinyu
32
1991
Time-stepping for three-dimensional rigid body dynamics. Zbl 0967.70003
Anitescu, Mihai; Potra, Florian A.; Stewart, David E.
31
1999
A large-step infeasible-interior-point method for the \(P_ *\)-matrix LCP. Zbl 0872.90100
Potra, Florian A.; Sheng, Rongqin
29
1997
Predictor-corrector algorithm for solving \(P_ *(\kappa)\)-matrix LCP from arbitrary positive starting points. Zbl 0881.90115
Potra, Florian A.; Sheng, Rongqin
29
1997
The discrete Galerkin method for nonlinear integral equations. Zbl 0664.65056
Atkinson, Kendall; Potra, Florian
28
1988
Corrector-predictor methods for sufficient linear complementarity problems. Zbl 1242.90260
Gurtuna, Filiz; Petra, Cosmin; Potra, Florian A.; Shevchenko, Olena; Vancea, Adrian
28
2011
Interior-point methods for nonlinear complementarity problems. Zbl 0851.90122
Potra, F. A.; Ye, Y.
27
1996
Some efficient methods for enclosing simple zeros of nonlinear equations. Zbl 0756.65070
Alefeld, Götz E.; Potra, Florian A.
25
1992
Interior point methods for sufficient horizontal LCP in a wide neighborhood of the central path with best known iteration complexity. Zbl 1291.90314
Potra, Florian A.
25
2014
A superlinearly convergent predictor-corrector method for degenerate LCP in a wide neighborhood of the central path with \(O(\sqrt nL)\)-iteration complexity. Zbl 1116.90101
Potra, Florian A.
23
2004
Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem. Zbl 0760.65056
Deuflhard, Peter; Potra, Florian A.
23
1992
On homogeneous interior-point algorithms for semidefinite programming. Zbl 0904.90118
Potra, Florian A.; Sheng, Rongqin
22
1998
Predictor-corrector method for linear complementarity problems with polynomial complexity and superlinear convergence. Zbl 0824.90129
Ji, J.; Potra, F. A.; Huang, S.
21
1995
Weighted complementarity problems – A new paradigm for computing equilibria. Zbl 1273.90217
Potra, Florian A.
21
2012
A quadratically convergent predictor-corrector method for solving linear programs from infeasible starting points. Zbl 0832.90077
Potra, Florian A.
20
1994
Predictor-corrector methods for sufficient linear complementarity problems in a wide neighborhood of the central path. Zbl 1087.90078
Potra, Florian A.; Liu, Xing
20
2005
On the local convergence of a predictor-corrector method for semidefinite programming. Zbl 0959.65076
Ji, Jun; Potra, Florian A.; Sheng, Rongqin
19
1999
Corrector-predictor methods for sufficient linear complementarity problems in a wide neighborhood of the central path. Zbl 1128.90058
Liu, Xing; Potra, Florian A.
19
2006
Efficent line search algorithm for unconstrained optimization. Zbl 0831.90106
Potra, F. A.; Shi, Y.
19
1995
An \(O(nL)\) infeasible-interior-point algorithm for LCP with quadratic convergence. Zbl 0848.90113
Potra, Florian A.
19
1996
A time-stepping method for stiff multibody dynamics with contact and friction. Zbl 1027.70001
Anitescu, Mihai; Potra, Florian A.
18
2002
Equivalence between different formulations of the linear complementarity problem. Zbl 0871.90095
Anitescu, Mihai; Lesaja, Goran; Potra, Florian A.
18
1997
A characterization of the behavior of the Anderson acceleration on linear problems. Zbl 1263.65036
Potra, Florian A.; Engler, Hans
18
2013
Superlinear convergence of interior-point algorithms for semidefinite programming. Zbl 0911.90255
Potra, F. A.; Sheng, R.
17
1998
On the convergence of a class of Newton-like methods. Zbl 0507.65020
Potra, F.-A.
17
1982
On enclosing simple roots of nonlinear equations. Zbl 0798.65062
Alefeld, G.; Potra, F. A.; Shi, Yixun
15
1993
On the aposteriori error estimates for Newton’s method. Zbl 0556.65048
Potra, Florian-Alexandru
15
1984
Differential-geometric techniques for solving differential algebraic equations. Zbl 0763.65058
Potra, Florian A.; Rheinboldt, Werner C.
15
1991
On a class of superlinearly convergent polynomial time interior point methods for sufficient LCP. Zbl 1213.90245
Potra, Florian A.; Stoer, Josef
15
2009
A linearly implicit trapezoidal method for integrating stiff multibody dynamics with contact, joints, and friction. Zbl 1110.70303
Potra, Florian A.; Anitescu, Mihai; Gavrea, Bogdan; Trinkle, Jeff
14
2006
The Kantorovich theorem and interior point methods. Zbl 1059.90137
Potra, Florian A.
14
2005
Sufficient weighted complementarity problems. Zbl 1369.90176
Potra, Florian A.
14
2016
A characterization of the divided differences of an operator which can be represented by Riemann integrals. Zbl 0523.65043
Potra, Florian-Alexandru
14
1980
An error analysis for the secant method. Zbl 0465.65033
Potra, Florian A.
14
1982
An application of the induction method of V. Ptak to the study of regula falsi. Zbl 0486.65038
Potra, Florian Alexandru
14
1981
Algorithm 748: Enclosing zeros of continuous functions. Zbl 0888.65059
Alefeld, G. E.; Potra, F. A.; Shi, Y.
13
1995
Efficient numerical validation of solutions of nonlinear systems. Zbl 0796.65068
Alefeld, G.; Gienger, A.; Potra, F.
12
1994
Superlinearly convergent infeasible-interior-point algorithm for degenerate LCP. Zbl 0907.90261
Potra, F. A.; Sheng, R.
12
1998
\(Q\)-superlinear convergence of the iterates in primal-dual interior-point methods. Zbl 1051.90027
Potra, Florian A.
12
2001
The Mizuno-Todd-Ye algorithm in a larger neighborhood of the central path. Zbl 1058.90076
Potra, Florian A.
12
2002
On a class of modified Newton processes. Zbl 0472.65049
Potra, F.-A.; Pták, Vlastimil
12
1980
Stochastic second-order cone programming in mobile ad hoc networks. Zbl 1177.90396
Maggioni, F.; Potra, F. A.; Bertocchi, M. I.; Allevi, E.
12
2009
On the superlinear convergence of interior-point algorithms for a general class of problems. Zbl 0781.90074
Zhang, Yin; Tapia, Richard; Potra, Florian
11
1993
A quadratically convergent polynomial algorithm for solving entropy optimization problems. Zbl 0788.65071
Potra, Florian; Ye, Yinyu
11
1993
On a modified secant method. Zbl 0445.65055
Potra, F. A.
11
1979
Numerical validation of solutions of linear complementarity problems. Zbl 0933.65072
Alefeld, G. E.; Chen, X.; Potra, F. A.
11
1999
An infeasible-interior-point predictor-corrector algorithm for the \(P_ *\)-geometric LCP. Zbl 0884.90140
Anitescu, M.; Lesaja, G.; Potra, F. A.
10
1997
SDPHA: A MATLAB implementation of homogeneous interior-point algorithms for semidefinite programming. Zbl 0973.90525
Brixius, Nathan; Potra, Florian A.; Sheng, Rongqin
10
1999
Corrector-predictor methods for monotone linear complementarity problems in a wide neighborhood of the central path. Zbl 1156.90026
Potra, Florian A.
10
2008
On the existence theorems of Kantorovich, Moore and Miranda. Zbl 0995.65060
Alefeld, G. E.; Potra, F. A.; Shen, Z.
9
2001
Probabilistic analysis of an infeasible-interior-point algorithm for linear programming. Zbl 0977.90019
Anstreicher, Kurt M.; Ji, Jun; Potra, Florian A.; Ye, Yinyu
9
1999
A full-Newton step interior-point method for monotone weighted linear complementarity problems. Zbl 1441.90163
Asadi, Soodabeh; Darvay, Zsolt; Lesaja, Goran; Mahdavi-Amiri, Nezam; Potra, Florian
9
2020
A generalization of regula falsi. Zbl 0478.65039
Potra, Florian A.; Pták, Vlastimil
9
1981
Efficient implementation of fully implicit methods for atmospheric chemical kinetics. Zbl 0864.65047
Sandu, A.; Potra, F. A.; Carmichael, G. R.; Damian, V.
8
1996
Improved quasi-steady-state-approximation methods for atmospheric chemistry integration. Zbl 0869.65045
Jay, L. O.; Sandu, A.; Potra, F. A.; Carmichael, G. R.
8
1997
On the discrete Galerkin method for Fredholm integral equations of the second kind. Zbl 0678.65093
Atkinson, K. E.; Potra, F. A.
8
1989
Numerical validation of solutions of complementarity problems: the nonlinear case. Zbl 1040.65046
Alefeld, G. E.; Chen, X.; Potra, F. A.
8
2002
Newton-like methods with monotone convergence for solving nonlinear operator equations. Zbl 0633.65050
Potra, Florian A.
8
1987
An infeasible interior point method for linear complementarity problems over symmetric cones. Zbl 1183.90424
Potra, Florian A.
8
2009
A new class of interval methods with higher order of convergence. Zbl 0675.65041
Alefeld, G.; Potra, F.
7
1989
Average performance of a self-dual interior point algorithm for linear programming. Zbl 0968.90519
Anstreicher, Kurt M.; Ji, Jun; Potra, Florian A.; Ye, Yinyu
7
1993
The rate of convergence of a modified Newton’s process. Zbl 0486.65039
Potra, F. A.
7
1981
A scenario-based framework for supply planning under uncertainty: stochastic programming versus robust optimization approaches. Zbl 1397.90217
Maggioni, Francesca; Potra, Florian A.; Bertocchi, Marida
7
2017
Superlinear convergence of a predictor-corrector method for semidefinite programming without shrinking central path neighborhood. Zbl 0999.90025
Potra, Florian A.; Sheng, Rongqin
6
2000
A path following method for LCP with superlinearly convergent iteration sequence. Zbl 0906.90163
Potra, Florian A.; Sheng, Rongqin
6
1998
A quadratically convergent infeasible-interior-point algorithm for LCP with polynomial complexity. Zbl 0878.90094
Sheng, Rongqin; Potra, Florian A.
6
1997
On the convergence of the iteration sequence of infeasible path following algorithms for linear complementarity problems. Zbl 0883.90117
Bonnans, J. Frédéric; Potra, Florian A.
6
1997
On the existence of solutions to complementarity formulations of contact problems with friction. Zbl 0887.70009
Anitescu, Mihai; Cremer, James F.; Potra, Florian A.
6
1997
On two higher order enclosing methods of J. W. Schmidt. Zbl 0657.65074
Alefeld, G.; Potra, F. A.
6
1988
Nondiscrete induction and a double step secant method. Zbl 0423.65034
Potra, F.-A.; Pták, Vlastimil
6
1980
Primal-dual affine scaling interior point methods for linear complementarity problems. Zbl 1171.90017
Potra, Florian A.
6
2008
Convergence of a class of semi-implicit time-stepping schemes for nonsmooth rigid multibody dynamics. Zbl 1162.70003
Gavrea, Bogdan I.; Anitescu, Mihai; Potra, Florian A.
6
2008
Integral operators and delay differential equations. Zbl 1138.34329
Gilsinn, David E.; Potra, Florian A.
6
2006
ODAE methods for the numerical solution of Euler-Lagrange equations. Zbl 0770.70002
Petzold, Linda R.; Potra, Florian A.
6
1992
On effectively computing the analytic center of the solution set by primal-dual interior-point methods. Zbl 0913.65049
González-Lima, María D.; Tapia, Richard A.; Potra, Florian A.
5
1998
Monotone iterative methods for nonlinear operator equations. Zbl 0636.65056
Potra, Florian A.
5
1987
Nondiscrete induction and an inversion-free modification of Newton’s method. Zbl 0563.65040
Potra, Florian A.; Pták, Vlastimil
5
1983
Convergence acceleration for some rootfinding methods. Zbl 0811.65037
Han, W.; Potra, F. A.
4
1993
Algorithm 748; enclosing zeros of continuous functions. Zbl 0872.65041
Alefeld, G. E.; Potra, F. A.; Shi, Yixun
4
1995
Adaptive full Newton-step infeasible interior-point method for sufficient horizontal LCP. Zbl 1429.90098
Lesaja, Goran; Potra, Florian
4
2019
A computational study of the use of an optimization-based method for simulating large multibody systems. Zbl 1237.90280
Petra, Cosmin; Gavrea, Bogdan; Anitescu, Mihai; Potra, Florian
3
2009
Implementation of linear multistep methods for solving constrained equations of motion. Zbl 0781.65068
Potra, Florian A.
3
1993
Low-order methods for Cauchy principal value integrals with endpoint singularities. Zbl 0803.65018
Potra, F. A.; Venturino, E.
3
1994
Outer inverses and multi-body system simulation. Zbl 0879.65048
Anitescu, Mihai; Coroian, Dan I.; Nashed, M. Zuhair; Potra, Florian A.
3
1996
On a monotone Newton-like method. Zbl 0627.65050
Potra, F. A.
3
1987
On a class of iterative procedures with monotone convergence. Zbl 0572.65044
Potra, F.-A.; Schmidt, Jochen W.
3
1983
An infeasible-interior-point method for the \(P_*(\kappa)\)-matrix LCP. Zbl 1025.90031
Ji, Jun; Potra, Florian A.
2
1998
Robust and distributionally robust optimization models for linear support vector machine. Zbl 1520.68141
Faccini, Daniel; Maggioni, Francesca; Potra, Florian A.
2
2022
A full-Newton step interior-point method for monotone weighted linear complementarity problems. Zbl 1441.90163
Asadi, Soodabeh; Darvay, Zsolt; Lesaja, Goran; Mahdavi-Amiri, Nezam; Potra, Florian
9
2020
Issues on the use of a modified bunch and Kaufman decomposition for large scale Newton’s equation. Zbl 1466.90050
Caliciotti, Andrea; Fasano, Giovanni; Potra, Florian; Roma, Massimo
1
2020
Adaptive full Newton-step infeasible interior-point method for sufficient horizontal LCP. Zbl 1429.90098
Lesaja, Goran; Potra, Florian
4
2019
A homogeneous model for monotone mixed horizontal linear complementarity problems. Zbl 1417.90140
Petra, Cosmin G.; Potra, Florian A.
1
2019
Equilibria and weighted complementarity problems. Zbl 1428.90166
Potra, Florian A.
1
2018
A scenario-based framework for supply planning under uncertainty: stochastic programming versus robust optimization approaches. Zbl 1397.90217
Maggioni, Francesca; Potra, Florian A.; Bertocchi, Marida
7
2017
A superquadratic variant of Newton’s method. Zbl 1478.65055
Potra, Florian A.
2
2017
Sufficient weighted complementarity problems. Zbl 1369.90176
Potra, Florian A.
14
2016
Interior point methods for sufficient horizontal LCP in a wide neighborhood of the central path with best known iteration complexity. Zbl 1291.90314
Potra, Florian A.
25
2014
A characterization of the behavior of the Anderson acceleration on linear problems. Zbl 1263.65036
Potra, Florian A.; Engler, Hans
18
2013
Stochastic second-order cone programming in mobile ad-hoc networks: sensitivity to input parameters. Zbl 1302.90143
Maggioni, Francesca; Bertocchi, Marida; Allevi, Elisabetta; Potra, Florian A.; Wallace, Stein W.
1
2013
Optimal kinematics of a looped filament. Zbl 1280.90119
Maggioni, Francesca; Potra, Florian A.; Bertocchi, Marida
1
2013
Weighted complementarity problems – A new paradigm for computing equilibria. Zbl 1273.90217
Potra, Florian A.
21
2012
Corrector-predictor methods for sufficient linear complementarity problems. Zbl 1242.90260
Gurtuna, Filiz; Petra, Cosmin; Potra, Florian A.; Shevchenko, Olena; Vancea, Adrian
28
2011
Minimal condition number for positive definite Hankel matrices using semidefinite programming. Zbl 1209.65050
Al-Homidan, Suliman; Alshahrani, Mohammad M.; Petra, Cosmin G.; Potra, Florian A.
1
2010
Multihazard design: Structural optimization approach. Zbl 1183.90397
Potra, F. A.; Simiu, E.
1
2010
On a class of superlinearly convergent polynomial time interior point methods for sufficient LCP. Zbl 1213.90245
Potra, Florian A.; Stoer, Josef
15
2009
Stochastic second-order cone programming in mobile ad hoc networks. Zbl 1177.90396
Maggioni, F.; Potra, F. A.; Bertocchi, M. I.; Allevi, E.
12
2009
An infeasible interior point method for linear complementarity problems over symmetric cones. Zbl 1183.90424
Potra, Florian A.
8
2009
A computational study of the use of an optimization-based method for simulating large multibody systems. Zbl 1237.90280
Petra, Cosmin; Gavrea, Bogdan; Anitescu, Mihai; Potra, Florian
3
2009
Corrector-predictor methods for monotone linear complementarity problems in a wide neighborhood of the central path. Zbl 1156.90026
Potra, Florian A.
10
2008
Primal-dual affine scaling interior point methods for linear complementarity problems. Zbl 1171.90017
Potra, Florian A.
6
2008
Convergence of a class of semi-implicit time-stepping schemes for nonsmooth rigid multibody dynamics. Zbl 1162.70003
Gavrea, Bogdan I.; Anitescu, Mihai; Potra, Florian A.
6
2008
Corrector-predictor methods for sufficient linear complementarity problems in a wide neighborhood of the central path. Zbl 1128.90058
Liu, Xing; Potra, Florian A.
19
2006
A linearly implicit trapezoidal method for integrating stiff multibody dynamics with contact, joints, and friction. Zbl 1110.70303
Potra, Florian A.; Anitescu, Mihai; Gavrea, Bogdan; Trinkle, Jeff
14
2006
Integral operators and delay differential equations. Zbl 1138.34329
Gilsinn, David E.; Potra, Florian A.
6
2006
Predictor-corrector methods for sufficient linear complementarity problems in a wide neighborhood of the central path. Zbl 1087.90078
Potra, Florian A.; Liu, Xing
20
2005
The Kantorovich theorem and interior point methods. Zbl 1059.90137
Potra, Florian A.
14
2005
Flow invariance and nonlinear optimization problems via first and second order generalized tangential cones. Zbl 1164.90419
Pavel, N. H.; Potra, F.
1
2005
A superlinearly convergent predictor-corrector method for degenerate LCP in a wide neighborhood of the central path with \(O(\sqrt nL)\)-iteration complexity. Zbl 1116.90101
Potra, Florian A.
23
2004
Subsequent convergence of iterative methods with applications to real-time model-predictive control. Zbl 1048.93031
Das, I.; Potra, F. A.
1
2003
A time-stepping method for stiff multibody dynamics with contact and friction. Zbl 1027.70001
Anitescu, Mihai; Potra, Florian A.
18
2002
The Mizuno-Todd-Ye algorithm in a larger neighborhood of the central path. Zbl 1058.90076
Potra, Florian A.
12
2002
Numerical validation of solutions of complementarity problems: the nonlinear case. Zbl 1040.65046
Alefeld, G. E.; Chen, X.; Potra, F. A.
8
2002
\(Q\)-superlinear convergence of the iterates in primal-dual interior-point methods. Zbl 1051.90027
Potra, Florian A.
12
2001
On the existence theorems of Kantorovich, Moore and Miranda. Zbl 0995.65060
Alefeld, G. E.; Potra, F. A.; Shen, Z.
9
2001
Interior-point methods. Zbl 0967.65078
Potra, Florian A.; Wright, Stephen J.
57
2000
Superlinear convergence of a predictor-corrector method for semidefinite programming without shrinking central path neighborhood. Zbl 0999.90025
Potra, Florian A.; Sheng, Rongqin
6
2000
Time-stepping for three-dimensional rigid body dynamics. Zbl 0967.70003
Anitescu, Mihai; Potra, Florian A.; Stewart, David E.
31
1999
On the local convergence of a predictor-corrector method for semidefinite programming. Zbl 0959.65076
Ji, Jun; Potra, Florian A.; Sheng, Rongqin
19
1999
Numerical validation of solutions of linear complementarity problems. Zbl 0933.65072
Alefeld, G. E.; Chen, X.; Potra, F. A.
11
1999
SDPHA: A MATLAB implementation of homogeneous interior-point algorithms for semidefinite programming. Zbl 0973.90525
Brixius, Nathan; Potra, Florian A.; Sheng, Rongqin
10
1999
Probabilistic analysis of an infeasible-interior-point algorithm for linear programming. Zbl 0977.90019
Anstreicher, Kurt M.; Ji, Jun; Potra, Florian A.; Ye, Yinyu
9
1999
Nonsymmetric search directions for semidefinite programming. Zbl 0960.65073
Brixius, Nathan; Potra, Florian A.; Sheng, Rongqin
2
1999
On a general class of interior-point algorithms for semidefinite programming with polynomial complexity and superlinear convergence. Zbl 0969.90066
Ji, Jun; Potra, Florian A.; Sheng, Rongqin
2
1999
A superlinearly convergent primal-dual infeasible-interior-point algorithm for semidefinite programming. Zbl 0917.65058
Potra, Florian A.; Sheng, Rongqin
42
1998
Secant methods for semismooth equations. Zbl 0914.65051
Potra, Florian A.; Qi, Liqun; Sun, Defeng
34
1998
On homogeneous interior-point algorithms for semidefinite programming. Zbl 0904.90118
Potra, Florian A.; Sheng, Rongqin
22
1998
Superlinear convergence of interior-point algorithms for semidefinite programming. Zbl 0911.90255
Potra, F. A.; Sheng, R.
17
1998
Superlinearly convergent infeasible-interior-point algorithm for degenerate LCP. Zbl 0907.90261
Potra, F. A.; Sheng, R.
12
1998
A path following method for LCP with superlinearly convergent iteration sequence. Zbl 0906.90163
Potra, Florian A.; Sheng, Rongqin
6
1998
On effectively computing the analytic center of the solution set by primal-dual interior-point methods. Zbl 0913.65049
González-Lima, María D.; Tapia, Richard A.; Potra, Florian A.
5
1998
An infeasible-interior-point method for the \(P_*(\kappa)\)-matrix LCP. Zbl 1025.90031
Ji, Jun; Potra, Florian A.
2
1998
Modifications of the interval-Newton-method with improved asymptotic efficiency. Zbl 0915.65040
Alefeld, G. E.; Potra, F. A.; Völker, W.
2
1998
Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems. Zbl 0899.70005
Anitescu, M.; Potra, F. A.
55
1997
A large-step infeasible-interior-point method for the \(P_ *\)-matrix LCP. Zbl 0872.90100
Potra, Florian A.; Sheng, Rongqin
29
1997
Predictor-corrector algorithm for solving \(P_ *(\kappa)\)-matrix LCP from arbitrary positive starting points. Zbl 0881.90115
Potra, Florian A.; Sheng, Rongqin
29
1997
Equivalence between different formulations of the linear complementarity problem. Zbl 0871.90095
Anitescu, Mihai; Lesaja, Goran; Potra, Florian A.
18
1997
An infeasible-interior-point predictor-corrector algorithm for the \(P_ *\)-geometric LCP. Zbl 0884.90140
Anitescu, M.; Lesaja, G.; Potra, F. A.
10
1997
Improved quasi-steady-state-approximation methods for atmospheric chemistry integration. Zbl 0869.65045
Jay, L. O.; Sandu, A.; Potra, F. A.; Carmichael, G. R.
8
1997
A quadratically convergent infeasible-interior-point algorithm for LCP with polynomial complexity. Zbl 0878.90094
Sheng, Rongqin; Potra, Florian A.
6
1997
On the convergence of the iteration sequence of infeasible path following algorithms for linear complementarity problems. Zbl 0883.90117
Bonnans, J. Frédéric; Potra, Florian A.
6
1997
On the existence of solutions to complementarity formulations of contact problems with friction. Zbl 0887.70009
Anitescu, Mihai; Cremer, James F.; Potra, Florian A.
6
1997
An infeasible-interior-point predictor-corrector algorithm for linear programming. Zbl 0846.90071
Potra, Florian A.
36
1996
Interior-point methods for nonlinear complementarity problems. Zbl 0851.90122
Potra, F. A.; Ye, Y.
27
1996
An \(O(nL)\) infeasible-interior-point algorithm for LCP with quadratic convergence. Zbl 0848.90113
Potra, Florian A.
19
1996
Efficient implementation of fully implicit methods for atmospheric chemical kinetics. Zbl 0864.65047
Sandu, A.; Potra, F. A.; Carmichael, G. R.; Damian, V.
8
1996
Outer inverses and multi-body system simulation. Zbl 0879.65048
Anitescu, Mihai; Coroian, Dan I.; Nashed, M. Zuhair; Potra, Florian A.
3
1996
Tapia indicators and finite termination of infeasible-interior-point methods for degenerate LCP. Zbl 0868.90121
Ji, Jun; Potra, Florian A.
2
1996
A note on Brent’s rootfinding method. Zbl 0900.65149
Potra, F. A.; Shi, Y.
1
1996
Effective improvements of the interval-Newton-method. Zbl 0848.65039
Alefeld, Götz E.; Potra, Florian A.; Völker, Wolfgang
1
1996
Predictor-corrector method for linear complementarity problems with polynomial complexity and superlinear convergence. Zbl 0824.90129
Ji, J.; Potra, F. A.; Huang, S.
21
1995
Efficent line search algorithm for unconstrained optimization. Zbl 0831.90106
Potra, F. A.; Shi, Y.
19
1995
Algorithm 748: Enclosing zeros of continuous functions. Zbl 0888.65059
Alefeld, G. E.; Potra, F. A.; Shi, Y.
13
1995
Algorithm 748; enclosing zeros of continuous functions. Zbl 0872.65041
Alefeld, G. E.; Potra, F. A.; Shi, Yixun
4
1995
A quadratically convergent predictor-corrector method for solving linear programs from infeasible starting points. Zbl 0832.90077
Potra, Florian A.
20
1994
Efficient numerical validation of solutions of nonlinear systems. Zbl 0796.65068
Alefeld, G.; Gienger, A.; Potra, F.
12
1994
Low-order methods for Cauchy principal value integrals with endpoint singularities. Zbl 0803.65018
Potra, F. A.; Venturino, E.
3
1994
Numerical methods for differential-algebraic equations with application to real-time simulation of mechanical systems. Zbl 0805.34012
Potra, F. A.
1
1994
Efficient hybrid algorithms for finding zeros of convex functions. Zbl 0807.65051
Potra, Florian A.
1
1994
On enclosing simple roots of nonlinear equations. Zbl 0798.65062
Alefeld, G.; Potra, F. A.; Shi, Yixun
15
1993
On the superlinear convergence of interior-point algorithms for a general class of problems. Zbl 0781.90074
Zhang, Yin; Tapia, Richard; Potra, Florian
11
1993
A quadratically convergent polynomial algorithm for solving entropy optimization problems. Zbl 0788.65071
Potra, Florian; Ye, Yinyu
11
1993
Average performance of a self-dual interior point algorithm for linear programming. Zbl 0968.90519
Anstreicher, Kurt M.; Ji, Jun; Potra, Florian A.; Ye, Yinyu
7
1993
Convergence acceleration for some rootfinding methods. Zbl 0811.65037
Han, W.; Potra, F. A.
4
1993
Implementation of linear multistep methods for solving constrained equations of motion. Zbl 0781.65068
Potra, Florian A.
3
1993
Some efficient methods for enclosing simple zeros of nonlinear equations. Zbl 0756.65070
Alefeld, Götz E.; Potra, Florian A.
25
1992
Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem. Zbl 0760.65056
Deuflhard, Peter; Potra, Florian A.
23
1992
ODAE methods for the numerical solution of Euler-Lagrange equations. Zbl 0770.70002
Petzold, Linda R.; Potra, Florian A.
6
1992
On some efficient interior point methods for nonlinear convex programming. Zbl 0741.65052
Kortanek, K. O.; Potra, Florian; Ye, Yinyu
32
1991
Differential-geometric techniques for solving differential algebraic equations. Zbl 0763.65058
Potra, Florian A.; Rheinboldt, Werner C.
15
1991
On Q-order and R-order of convergence. Zbl 0663.65049
Potra, F. A.
50
1989
On the discrete Galerkin method for Fredholm integral equations of the second kind. Zbl 0678.65093
Atkinson, K. E.; Potra, F. A.
8
1989
A new class of interval methods with higher order of convergence. Zbl 0675.65041
Alefeld, G.; Potra, F.
7
1989
The discrete Galerkin method for nonlinear integral equations. Zbl 0664.65056
Atkinson, Kendall; Potra, Florian
28
1988
On two higher order enclosing methods of J. W. Schmidt. Zbl 0657.65074
Alefeld, G.; Potra, F. A.
6
1988
Parallel line search algorithms for solving convex unconstrained minimization problems. Zbl 0657.90078
Asawakun, Prapasri; Potra, Florian A.
1
1988
Projection and iterated projection methods for nonlinear integral equations. Zbl 0655.65146
Atkinson, Kendall E.; Potra, Florian A.
83
1987
Newton-like methods with monotone convergence for solving nonlinear operator equations. Zbl 0633.65050
Potra, Florian A.
8
1987
...and 21 more Documents
all top 5

Cited by 1,423 Authors

195 Argyros, Ioannis Konstantinos
44 Hernández, Miguel Ángel
42 Potra, Florian-Alexandru
41 Ezquerro, José Antonio
35 George, Santhosh
33 Hilout, Saïd
30 Kheirfam, Behrouz
30 Magreñán, Ángel Alberto
24 Grau-Sánchez, Miquel
23 Amat Plata, Sergio
21 Hernández-Verón, Miguel Ángel
20 Busquier, Sonia
19 Nelakanti, Gnaneshwar
19 Sharma, Janak Raj
18 Rubio, María Jesús
17 Darvay, Zsolt
15 Noguera, Miquel
12 Chun, Changbum
12 Kelley, Carl T.
12 Romero, Natalia
12 Wang, Guoqiang
11 Alefeld, Götz E.
11 Behl, Ramandeep
11 Liu, Hongwei
11 Roos, Cornelis
10 Anitescu, Mihai
10 Asadi, Soodabeh
10 Kanwar, Vinay
10 Parhi, Sanjaya Kumar
10 Terlaky, Tamás
9 Allouch, Chafik
9 Gutiérrez, José Manuel
9 Lesaja, Goran
9 Liu, Changhe
9 Mansouri, Hossein
9 Sbibih, Driss
9 Shen, Weiping
9 Tahrichi, Mohamed
9 Torregrosa Sanchez, Juan Ramón
9 Yamamoto, Tetsuro
9 Ye, Yinyu
8 Bai, Yanqin
8 Chen, Xiaojun
8 Cordero, Alicia
8 Das, Payel
8 González, Daniel
8 Kou, Jisheng
8 Sicilia, Juan Antonio
8 Tang, Jingyong
8 Tasora, Alessandro
8 Zangiabadi, Maryam
7 Candela, Vicente F.
7 Cătinaş, Emil
7 Glocker, Christoph
7 Grau, Àngela
7 Kojima, Masakazu
7 Li, Chong
7 Martínez, Eulalia
7 Moret, Igor
7 Rigó, Petra Renáta
7 Sharma, Debasis
7 Wright, Stephen J.
7 Yu, Bo
6 Alzalg, Baha M.
6 Anastassiou, George Angelos
6 Brogliato, Bernard
6 Chakraborty, Samiran
6 Chi, Xiaoni
6 Illés, Tibor
6 Kansal, Munish
6 Kulkarni, Rekha P.
6 Mizuno, Shinji
6 Monteiro, Renato D. C.
6 Motsa, Sandile S.
6 Ren, Hongmin
6 Rheinboldt, Werner C.
6 Shakhno, Stepan Mykhaĭlovych
6 Su, Menglong
6 Teo, Kok Lay
6 Yang, Ximei
5 Arora, Himani
5 Assari, Pouria
5 Boyd, Stephen Poythress
5 Campbell, Stephen LaVern
5 Chen, Jinhai
5 Gupta, Dharmendra Kumar
5 Huang, Nan-Jing
5 Hueso, José Luis
5 Li, Yitian
5 Lin, Zhenghua
5 Maleknejad, Khosrow
5 Mărușter, Ștefan
5 Pang, Jong-Shi
5 Salahi, Maziar
5 Sarría, Ínigo
5 Shi, Yixun
5 Simeon, Bernd
5 Śmietański, Marek J.
5 Stanimirović, Predrag S.
5 Wang, Song
...and 1,323 more Authors
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Cited in 247 Serials

116 Applied Mathematics and Computation
112 Journal of Computational and Applied Mathematics
75 Journal of Optimization Theory and Applications
53 Mathematical Programming. Series A. Series B
49 Numerical Algorithms
40 Optimization Methods & Software
34 International Journal of Computer Mathematics
33 Numerical Functional Analysis and Optimization
29 Optimization
28 Computers & Mathematics with Applications
24 Computing
24 Applied Numerical Mathematics
23 Computer Methods in Applied Mechanics and Engineering
21 Journal of Applied Mathematics and Computing
21 S\(\vec{\text{e}}\)MA Journal
20 Applied Mathematics Letters
19 Journal of Complexity
19 Multibody System Dynamics
18 Numerische Mathematik
18 Computational Optimization and Applications
17 European Journal of Operational Research
16 Journal of Integral Equations and Applications
15 Journal of Mathematical Analysis and Applications
14 Computational and Applied Mathematics
12 Journal of Computational Physics
12 Optimization Letters
10 Annals of Operations Research
10 Linear Algebra and its Applications
10 SIAM Journal on Optimization
10 Nonlinear Dynamics
10 International Journal of Applied and Computational Mathematics
9 BIT
9 Journal of Global Optimization
8 Mathematics of Computation
8 Journal of the Operations Research Society of China
7 Calcolo
7 International Journal for Numerical Methods in Engineering
7 Mathematical and Computer Modelling
7 Journal of Scientific Computing
7 Applications of Mathematics
7 SIAM Journal on Scientific Computing
7 Applicationes Mathematicae
7 Journal of Mathematical Chemistry
7 Journal of Industrial and Management Optimization
7 Algorithms
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Operations Research Letters
5 Czechoslovak Mathematical Journal
5 Physica D
5 Computational Mechanics
5 Mathematical Problems in Engineering
5 Journal of Applied Mathematics
5 Analele Universității de Vest din Timișoara. Seria Matematică-Informatică
4 Mathematics and Computers in Simulation
4 SIAM Journal on Numerical Analysis
4 Japan Journal of Applied Mathematics
4 Computers & Operations Research
4 The Journal of Analysis
4 Top
4 Abstract and Applied Analysis
4 CEJOR. Central European Journal of Operations Research
4 Numerical Algebra, Control and Optimization
4 Nonlinear Analysis. Theory, Methods & Applications
3 Computer Physics Communications
3 Journal of the Franklin Institute
3 Periodica Mathematica Hungarica
3 Kybernetika
3 Monatshefte für Mathematik
3 Japan Journal of Industrial and Applied Mathematics
3 Applied Mathematical Modelling
3 SIAM Review
3 Applied Mathematics. Series B (English Edition)
3 Reliable Computing
3 Journal of Inequalities and Applications
3 Acta Mathematica Sinica. English Series
3 Computational Geosciences
3 Optimization and Engineering
3 The ANZIAM Journal
3 Nonlinear Analysis. Real World Applications
3 Mathematical Modelling and Analysis
3 Central European Journal of Mathematics
3 International Journal of Computational Methods
3 Mediterranean Journal of Mathematics
3 Advances in Numerical Analysis
3 Arabian Journal of Mathematics
2 Acta Mechanica
2 Applicable Analysis
2 Bulletin of the Australian Mathematical Society
2 Automatica
2 Mathematica Slovaca
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Circuits, Systems, and Signal Processing
2 Acta Mathematica Hungarica
2 Science in China. Series A
2 International Journal of Robust and Nonlinear Control
2 Journal of Mathematical Sciences (New York)
2 Filomat
2 Journal of Convex Analysis
2 Novi Sad Journal of Mathematics
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
...and 147 more Serials
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Cited in 45 Fields

901 Numerical analysis (65-XX)
515 Operations research, mathematical programming (90-XX)
280 Operator theory (47-XX)
126 Integral equations (45-XX)
100 Calculus of variations and optimal control; optimization (49-XX)
63 Ordinary differential equations (34-XX)
60 Mechanics of deformable solids (74-XX)
59 Mechanics of particles and systems (70-XX)
41 Partial differential equations (35-XX)
28 Computer science (68-XX)
22 Approximations and expansions (41-XX)
20 Linear and multilinear algebra; matrix theory (15-XX)
18 Systems theory; control (93-XX)
16 Biology and other natural sciences (92-XX)
14 Fluid mechanics (76-XX)
10 Real functions (26-XX)
9 Statistics (62-XX)
7 Dynamical systems and ergodic theory (37-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Functional analysis (46-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Convex and discrete geometry (52-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Difference and functional equations (39-XX)
4 Probability theory and stochastic processes (60-XX)
4 Geophysics (86-XX)
4 Information and communication theory, circuits (94-XX)
3 Field theory and polynomials (12-XX)
3 Functions of a complex variable (30-XX)
3 Differential geometry (53-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Optics, electromagnetic theory (78-XX)
3 Astronomy and astrophysics (85-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Nonassociative rings and algebras (17-XX)
2 Algebraic topology (55-XX)
2 Quantum theory (81-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 General topology (54-XX)

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